53706961 has 32 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 38860800.

The previous prime is 53706931. The next prime is 53706971. The reversal of 53706961 is 16960735.

53706961 = T₁₂₆ + T₁₂₇ + ... + T₆₈₆.

It is not a de Polignac number, because 53706961 - 2⁵ = 53706929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53706961.

It is not an unprimeable number, because it can be changed into a prime (53706931) 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, 116271 + ... + 116731.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^53706961 is an apocalyptic number.

It is an amenable number.

53706961 is a deficient number, since it is larger than the sum of its proper divisors (18143279).

53706961 is a wasteful number, since it uses less digits than its factorization.

53706961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 53706961 is about 7328.5033260551. The cubic root of 53706961 is about 377.2913596432.

The spelling of 53706961 in words is "fifty-three million, seven hundred six thousand, nine hundred sixty-one".