82772151 has 32 divisors (see below), whose sum is σ = 144844800. Its totient is φ = 40733280.

The previous prime is 82772143. The next prime is 82772191. The reversal of 82772151 is 15127728.

It is not a de Polignac number, because 82772151 - 2³ = 82772143 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82772191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5041 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (4526400).

Almost surely, 2^82772151 is an apocalyptic number.

82772151 is a deficient number, since it is larger than the sum of its proper divisors (62072649).

82772151 is a wasteful number, since it uses less digits than its factorization.

82772151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18899.

The product of its digits is 7840, while the sum is 33.

The square root of 82772151 is about 9097.9201469347. The cubic root of 82772151 is about 435.8075473469.

Adding to 82772151 its reverse (15127728), we get a palindrome (97899879).

The spelling of 82772151 in words is "eighty-two million, seven hundred seventy-two thousand, one hundred fifty-one".