10582152 has 32 divisors (see below), whose sum is σ = 30235200. Its totient is φ = 3023424.

The previous prime is 10582151. The next prime is 10582157. The reversal of 10582152 is 25128501.

It is a super-2 number, since 2×10582152² = 223963881902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10582151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31327 + ... + 31662.

It is an arithmetic number, because the mean of its divisors is an integer number (944850).

Almost surely, 2^10582152 is an apocalyptic number.

10582152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10582152 is an abundant number, since it is smaller than the sum of its proper divisors (19653048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10582152 is a wasteful number, since it uses less digits than its factorization.

10582152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63005 (or 63001 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 10582152 is about 3253.0219796368. The cubic root of 10582152 is about 219.5455633297.

The spelling of 10582152 in words is "ten million, five hundred eighty-two thousand, one hundred fifty-two".