10032957 has 48 divisors (see below), whose sum is σ = 16981440. Its totient is φ = 5844960.

The previous prime is 10032937. The next prime is 10032977. The reversal of 10032957 is 75923001.

It is an interprime number because it is at equal distance from previous prime (10032937) and next prime (10032977).

It is not a de Polignac number, because 10032957 - 2⁷ = 10032829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10032957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032917) 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 47 ways as a sum of consecutive naturals, for example, 120838 + ... + 120920.

It is an arithmetic number, because the mean of its divisors is an integer number (353780).

Almost surely, 2^10032957 is an apocalyptic number.

It is an amenable number.

10032957 is a deficient number, since it is larger than the sum of its proper divisors (6948483).

10032957 is a wasteful number, since it uses less digits than its factorization.

10032957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10032957 is about 3167.4843330315. The cubic root of 10032957 is about 215.6798884841.

Adding to 10032957 its reverse (75923001), we get a palindrome (85955958).

The spelling of 10032957 in words is "ten million, thirty-two thousand, nine hundred fifty-seven".