54633645 has 96 divisors (see below), whose sum is σ = 112394880. Its totient is φ = 24261120.

The previous prime is 54633641. The next prime is 54633647.

54633645 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 3 + 645 = 666.

54633645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54633645 - 2² = 54633641 is a prime.

It is a super-3 number, since 3×54633645³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54633641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347907 + ... + 348063.

It is an arithmetic number, because the mean of its divisors is an integer number (1170780).

Almost surely, 2^54633645 is an apocalyptic number.

54633645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54633645 is an abundant number, since it is smaller than the sum of its proper divisors (57761235).

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

54633645 is a wasteful number, since it uses less digits than its factorization.

54633645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 232 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 54633645 is about 7391.4575693837. The cubic root of 54633645 is about 379.4489820860.

It can be divided in two parts, 54633 and 645, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54633645 in words is "fifty-four million, six hundred thirty-three thousand, six hundred forty-five".