57977346 has 32 divisors (see below), whose sum is σ = 132756480. Its totient is φ = 16535376.

The previous prime is 57977329. The next prime is 57977357. The reversal of 57977346 is 64377975.

It is a super-2 number, since 2×57977346² = 6722745298407432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 57977295 and 57977304.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35275 + ... + 36881.

It is an arithmetic number, because the mean of its divisors is an integer number (4148640).

Almost surely, 2^57977346 is an apocalyptic number.

57977346 is an abundant number, since it is smaller than the sum of its proper divisors (74779134).

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

57977346 is a wasteful number, since it uses less digits than its factorization.

57977346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478.

The product of its digits is 1111320, while the sum is 48.

The square root of 57977346 is about 7614.2856526400. The cubic root of 57977346 is about 387.0372604657.

It can be divided in two parts, 5797734 and 6, that multiplied together give a square (34786404 = 5898²).

The spelling of 57977346 in words is "fifty-seven million, nine hundred seventy-seven thousand, three hundred forty-six".