53957948 has 72 divisors (see below), whose sum is σ = 112654080. Its totient is φ = 22407840.

The previous prime is 53957923. The next prime is 53957957. The reversal of 53957948 is 84975935.

It is a super-2 number, since 2×53957948² = 5822920304741408, which contains 22 as substring.

Its product of digits (1360800) is a multiple of the sum of its prime factors (175).

It is a junction number, because it is equal to n+sod(n) for n = 53957896 and 53957905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682973 + ... + 683051.

It is an arithmetic number, because the mean of its divisors is an integer number (1564640).

Almost surely, 2^53957948 is an apocalyptic number.

It is an amenable number.

53957948 is an abundant number, since it is smaller than the sum of its proper divisors (58696132).

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

53957948 is a wasteful number, since it uses less digits than its factorization.

53957948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 50.

The square root of 53957948 is about 7345.6073948993. The cubic root of 53957948 is about 377.8781743035.

The spelling of 53957948 in words is "fifty-three million, nine hundred fifty-seven thousand, nine hundred forty-eight".