83249972 has 48 divisors (see below), whose sum is σ = 167311872. Its totient is φ = 35946240.

The previous prime is 83249953. The next prime is 83249987. The reversal of 83249972 is 27994238.

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, 55472 + ... + 56952.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^83249972 is an apocalyptic number.

It is an amenable number.

83249972 is an abundant number, since it is smaller than the sum of its proper divisors (84061900).

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

83249972 is a wasteful number, since it uses less digits than its factorization.

With its successor (83249973) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1566).

With its successor (83249973) it forms an eRAP, since the sums of their prime factors are consecutive (1568 and 1569).

83249972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1566 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 83249972 is about 9124.1422610567. The cubic root of 83249972 is about 436.6445381116.

It can be divided in two parts, 832 and 49972, that multiplied together give a square (41576704 = 6448²).

The spelling of 83249972 in words is "eighty-three million, two hundred forty-nine thousand, nine hundred seventy-two".