83752251 has 32 divisors (see below), whose sum is σ = 129662208. Its totient is φ = 47523840.

The previous prime is 83752219. The next prime is 83752259. The reversal of 83752251 is 15225738.

It is not a de Polignac number, because 83752251 - 2⁵ = 83752219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (83752259) 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 31 ways as a sum of consecutive naturals, for example, 188836 + ... + 189278.

It is an arithmetic number, because the mean of its divisors is an integer number (4051944).

Almost surely, 2^83752251 is an apocalyptic number.

83752251 is a deficient number, since it is larger than the sum of its proper divisors (45909957).

83752251 is a wasteful number, since it uses less digits than its factorization.

83752251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811.

The product of its digits is 16800, while the sum is 33.

The square root of 83752251 is about 9151.6255933031. The cubic root of 83752251 is about 437.5209259106.

Adding to 83752251 its reverse (15225738), we get a palindrome (98977989).

The spelling of 83752251 in words is "eighty-three million, seven hundred fifty-two thousand, two hundred fifty-one".