10585332 has 36 divisors (see below), whose sum is σ = 26877760. Its totient is φ = 3512592.

The previous prime is 10585331. The next prime is 10585343. The reversal of 10585332 is 23358501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10585332² = 224098507100448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585296 and 10585305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9669 + ... + 10707.

Almost surely, 2^10585332 is an apocalyptic number.

10585332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10585332 is an abundant number, since it is smaller than the sum of its proper divisors (16292428).

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

10585332 is a wasteful number, since it uses less digits than its factorization.

10585332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10585332 is about 3253.5107192078. The cubic root of 10585332 is about 219.5675527124.

The spelling of 10585332 in words is "ten million, five hundred eighty-five thousand, three hundred thirty-two".