58825965 has 24 divisors (see below), whose sum is σ = 103459104. Its totient is φ = 28520800.

The previous prime is 58825951. The next prime is 58825969. The reversal of 58825965 is 56952885.

It is not a de Polignac number, because 58825965 - 2⁶ = 58825901 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58825969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14391 + ... + 18020.

It is an arithmetic number, because the mean of its divisors is an integer number (4310796).

Almost surely, 2^58825965 is an apocalyptic number.

58825965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58825965 is a deficient number, since it is larger than the sum of its proper divisors (44633139).

58825965 is a wasteful number, since it uses less digits than its factorization.

58825965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32441 (or 32430 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 58825965 is about 7669.8086677570. The cubic root of 58825965 is about 388.9164862804.

Subtracting from 58825965 its reverse (56952885), we obtain a triangular number (1873080 = T₁₉₃₅).

The spelling of 58825965 in words is "fifty-eight million, eight hundred twenty-five thousand, nine hundred sixty-five".