1032401161 has 27 divisors (see below), whose sum is σ = 1195686093. Its totient is φ = 890671320.

The previous prime is 1032401159. The next prime is 1032401179. The reversal of 1032401161 is 1611042301.

1032401161 = 1³ + 2³ + ... + 253³.

The square root of 1032401161 is 32131.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1032401161 - 2¹ = 1032401159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1032401261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8129080 + ... + 8129206.

Almost surely, 2^1032401161 is an apocalyptic number.

1032401161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1032401161 is the 32131-st square number.

1032401161 is the 16066-th centered octagonal number.

It is an amenable number.

1032401161 is a deficient number, since it is larger than the sum of its proper divisors (163284932).

1032401161 is an equidigital number, since it uses as much as digits as its factorization.

1032401161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 1032401161 is about 1010.6857940815.

Multiplying 1032401161 by its product of nonzero digits (144), we get a square (148665767184 = 385572²).

Adding to 1032401161 its reverse (1611042301), we get a palindrome (2643443462).

It can be divided in two parts, 103240 and 1161, that added together give a palindrome (104401).

The spelling of 1032401161 in words is "one billion, thirty-two million, four hundred one thousand, one hundred sixty-one".