55977345 has 32 divisors (see below), whose sum is σ = 105373440. Its totient is φ = 28097280.

The previous prime is 55977343. The next prime is 55977347. The reversal of 55977345 is 54377955.

It is an interprime number because it is at equal distance from previous prime (55977343) and next prime (55977347).

It is not a de Polignac number, because 55977345 - 2¹ = 55977343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 55977345.

It is not an unprimeable number, because it can be changed into a prime (55977343) 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 31 ways as a sum of consecutive naturals, for example, 9901 + ... + 14490.

It is an arithmetic number, because the mean of its divisors is an integer number (3292920).

Almost surely, 2^55977345 is an apocalyptic number.

It is an amenable number.

55977345 is a deficient number, since it is larger than the sum of its proper divisors (49396095).

55977345 is a wasteful number, since it uses less digits than its factorization.

55977345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24422 (or 24416 counting only the distinct ones).

The product of its digits is 661500, while the sum is 45.

The square root of 55977345 is about 7481.8009195648. The cubic root of 55977345 is about 382.5346373862.

The spelling of 55977345 in words is "fifty-five million, nine hundred seventy-seven thousand, three hundred forty-five".