83721957 has 24 divisors (see below), whose sum is σ = 129927168. Its totient is φ = 47752320.

The previous prime is 83721949. The next prime is 83721997. The reversal of 83721957 is 75912738.

It is not a de Polignac number, because 83721957 - 2³ = 83721949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83721907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613 + ... + 12954.

It is an arithmetic number, because the mean of its divisors is an integer number (5413632).

Almost surely, 2^83721957 is an apocalyptic number.

It is an amenable number.

83721957 is a deficient number, since it is larger than the sum of its proper divisors (46205211).

83721957 is a wasteful number, since it uses less digits than its factorization.

83721957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13609 (or 13598 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 83721957 is about 9149.9703278207. The cubic root of 83721957 is about 437.4681676976.

The spelling of 83721957 in words is "eighty-three million, seven hundred twenty-one thousand, nine hundred fifty-seven".