87457001 has 2 divisors, whose sum is σ = 87457002. Its totient is φ = 87457000.

The previous prime is 87456979. The next prime is 87457009. The reversal of 87457001 is 10075478.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84198976 + 3258025 = 9176^2 + 1805^2 .

It is a cyclic number.

It is not a de Polignac number, because 87457001 - 2²⁶ = 20348137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (87457009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43728500 + 43728501.

It is an arithmetic number, because the mean of its divisors is an integer number (43728501).

Almost surely, 2^87457001 is an apocalyptic number.

It is an amenable number.

87457001 is a deficient number, since it is larger than the sum of its proper divisors (1).

87457001 is an equidigital number, since it uses as much as digits as its factorization.

87457001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 87457001 is about 9351.8447912698. The cubic root of 87457001 is about 443.8792670812.

It can be divided in two parts, 874 and 57001, that added together give a palindrome (57875).

The spelling of 87457001 in words is "eighty-seven million, four hundred fifty-seven thousand, one".