82588501 has 2 divisors, whose sum is σ = 82588502. Its totient is φ = 82588500.

The previous prime is 82588463. The next prime is 82588523. The reversal of 82588501 is 10588528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50041476 + 32547025 = 7074^2 + 5705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82588501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82588301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41294250 + 41294251.

It is an arithmetic number, because the mean of its divisors is an integer number (41294251).

Almost surely, 2^82588501 is an apocalyptic number.

It is an amenable number.

82588501 is a deficient number, since it is larger than the sum of its proper divisors (1).

82588501 is an equidigital number, since it uses as much as digits as its factorization.

82588501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25600, while the sum is 37.

The square root of 82588501 is about 9087.8215761534. The cubic root of 82588501 is about 435.4849939226.

The spelling of 82588501 in words is "eighty-two million, five hundred eighty-eight thousand, five hundred one".