357107345 has 24 divisors (see below), whose sum is σ = 499460904. Its totient is φ = 244398336.

The previous prime is 357107329. The next prime is 357107393. The reversal of 357107345 is 543701753.

It can be written as a sum of positive squares in 4 ways, for example, as 59613841 + 297493504 = 7721^2 + 17248^2 .

It is not a de Polignac number, because 357107345 - 2⁴ = 357107329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164789 + ... + 166941.

It is an arithmetic number, because the mean of its divisors is an integer number (20810871).

Almost surely, 2^357107345 is an apocalyptic number.

357107345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

357107345 is a deficient number, since it is larger than the sum of its proper divisors (142353559).

357107345 is a wasteful number, since it uses less digits than its factorization.

357107345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 357107345 is about 18897.2840641188. The cubic root of 357107345 is about 709.4681893396.

The spelling of 357107345 in words is "three hundred fifty-seven million, one hundred seven thousand, three hundred forty-five".