41738625 has 64 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 21844800.

The previous prime is 41738581. The next prime is 41738633. The reversal of 41738625 is 52683714.

It is not a de Polignac number, because 41738625 - 2¹² = 41734529 is a prime.

It is a super-2 number, since 2×41738625² = 3484225633781250, which contains 22 as substring.

Its product of digits (40320) is a multiple of the sum of its prime divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 41738625.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280051 + ... + 280199.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^41738625 is an apocalyptic number.

41738625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41738625 is a deficient number, since it is larger than the sum of its proper divisors (36885375).

41738625 is a wasteful number, since it uses less digits than its factorization.

41738625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 41738625 is about 6460.5437077695. The cubic root of 41738625 is about 346.8800948850.

The spelling of 41738625 in words is "forty-one million, seven hundred thirty-eight thousand, six hundred twenty-five".