82752021 has 18 divisors (see below), whose sum is σ = 131386710. Its totient is φ = 50152080.

The previous prime is 82752001. The next prime is 82752023. The reversal of 82752021 is 12025728.

It can be written as a sum of positive squares in only one way, i.e., 51279921 + 31472100 = 7161^2 + 5610^2 .

It is not a de Polignac number, because 82752021 - 2¹¹ = 82749973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82752023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36906 + ... + 39083.

Almost surely, 2^82752021 is an apocalyptic number.

It is an amenable number.

82752021 is a deficient number, since it is larger than the sum of its proper divisors (48634689).

82752021 is a wasteful number, since it uses less digits than its factorization.

82752021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76017 (or 76003 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82752021 is about 9096.8137828583. The cubic root of 82752021 is about 435.7722153458.

Adding to 82752021 its reverse (12025728), we get a palindrome (94777749).

It can be divided in two parts, 827520 and 21, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 82752021 in words is "eighty-two million, seven hundred fifty-two thousand, twenty-one".