54677645 has 16 divisors (see below), whose sum is σ = 73889280. Its totient is φ = 38481600.

The previous prime is 54677633. The next prime is 54677669.

54677645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54677645 - 2¹⁰ = 54676621 is a prime.

It is a super-3 number, since 3×54677645³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54677596 and 54677605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14330 + ... + 17739.

It is an arithmetic number, because the mean of its divisors is an integer number (4618080).

Almost surely, 2^54677645 is an apocalyptic number.

54677645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54677645 is a deficient number, since it is larger than the sum of its proper divisors (19211635).

54677645 is a wasteful number, since it uses less digits than its factorization.

54677645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32116.

The product of its digits is 705600, while the sum is 44.

The square root of 54677645 is about 7394.4333792387. The cubic root of 54677645 is about 379.5508196695.

The spelling of 54677645 in words is "fifty-four million, six hundred seventy-seven thousand, six hundred forty-five".