1029348657 has 12 divisors (see below), whose sum is σ = 1574298180. Its totient is φ = 645865728.

The previous prime is 1029348641. The next prime is 1029348673. The reversal of 1029348657 is 7568439201.

1029348657 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1029348641) and next prime (1029348673).

It can be written as a sum of positive squares in 2 ways, for example, as 295805601 + 733543056 = 17199^2 + 27084^2 .

It is not a de Polignac number, because 1029348657 - 2⁴ = 1029348641 is a prime.

1029348657 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1029348157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3363732 + ... + 3364037.

It is an arithmetic number, because the mean of its divisors is an integer number (131191515).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1029348657 = 2058697314, but 3⋅1029348657 = 3088045971 is not.

Almost surely, 2^1029348657 is an apocalyptic number.

1029348657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1029348657 is a deficient number, since it is larger than the sum of its proper divisors (544949523).

1029348657 is a wasteful number, since it uses less digits than its factorization.

1029348657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727792 (or 6727789 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1029348657 is about 32083.4639183490. The cubic root of 1029348657 is about 1009.6887113751.

The spelling of 1029348657 in words is "one billion, twenty-nine million, three hundred forty-eight thousand, six hundred fifty-seven".