56762541 has 48 divisors (see below), whose sum is σ = 98055360. Its totient is φ = 31234560.

The previous prime is 56762533. The next prime is 56762549. The reversal of 56762541 is 14526765.

It is a happy number.

56762541 is a `hidden beast` number, since 56 + 7 + 62 + 541 = 666.

It is an interprime number because it is at equal distance from previous prime (56762533) and next prime (56762549).

It is not a de Polignac number, because 56762541 - 2³ = 56762533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56762496 and 56762505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56762549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48226 + ... + 49388.

It is an arithmetic number, because the mean of its divisors is an integer number (2042820).

Almost surely, 2^56762541 is an apocalyptic number.

56762541 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

56762541 is a deficient number, since it is larger than the sum of its proper divisors (41292819).

56762541 is a wasteful number, since it uses less digits than its factorization.

56762541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1223 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 56762541 is about 7534.0919160838. The cubic root of 56762541 is about 384.3149475090.

The spelling of 56762541 in words is "fifty-six million, seven hundred sixty-two thousand, five hundred forty-one".