53873967 has 16 divisors (see below), whose sum is σ = 84925440. Its totient is φ = 29723232.

The previous prime is 53873957. The next prime is 53873977. The reversal of 53873967 is 76937835.

It is an interprime number because it is at equal distance from previous prime (53873957) and next prime (53873977).

It is not a de Polignac number, because 53873967 - 2¹⁵ = 53841199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53873947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43623 + ... + 44840.

It is an arithmetic number, because the mean of its divisors is an integer number (5307840).

Almost surely, 2^53873967 is an apocalyptic number.

53873967 is a deficient number, since it is larger than the sum of its proper divisors (31051473).

53873967 is a wasteful number, since it uses less digits than its factorization.

53873967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88502.

The product of its digits is 952560, while the sum is 48.

The square root of 53873967 is about 7339.8887593750. Note that the first 3 decimals coincide. The cubic root of 53873967 is about 377.6820273258.

It can be divided in two parts, 5387396 and 7, that added together give a triangular number (5387403 = T₃₂₈₂).

The spelling of 53873967 in words is "fifty-three million, eight hundred seventy-three thousand, nine hundred sixty-seven".