58635225 has 96 divisors (see below), whose sum is σ = 120528000. Its totient is φ = 27705600.

The previous prime is 58635217. The next prime is 58635233. The reversal of 58635225 is 52253685.

It is a happy number.

58635225 is a `hidden beast` number, since 586 + 3 + 52 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (58635217) and next prime (58635233).

It is not a de Polignac number, because 58635225 - 2³ = 58635217 is a prime.

It is a super-2 number, since 2×58635225² = 6876179221601250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58635225.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393451 + ... + 393599.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 2^58635225 is an apocalyptic number.

58635225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58635225 is an abundant number, since it is smaller than the sum of its proper divisors (61892775).

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

58635225 is a wasteful number, since it uses less digits than its factorization.

58635225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 58635225 is about 7657.3641026139. The cubic root of 58635225 is about 388.4956842740.

The spelling of 58635225 in words is "fifty-eight million, six hundred thirty-five thousand, two hundred twenty-five".