87458101 has 2 divisors, whose sum is σ = 87458102. Its totient is φ = 87458100.

The previous prime is 87458093. The next prime is 87458123. The reversal of 87458101 is 10185478.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87441201 + 16900 = 9351^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 87458101 - 2³ = 87458093 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is equal to p_5078176 and since 87458101 and 5078176 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87458131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43729050 + 43729051.

It is an arithmetic number, because the mean of its divisors is an integer number (43729051).

Almost surely, 2^87458101 is an apocalyptic number.

It is an amenable number.

87458101 is a deficient number, since it is larger than the sum of its proper divisors (1).

87458101 is an equidigital number, since it uses as much as digits as its factorization.

87458101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 87458101 is about 9351.9036030105. The cubic root of 87458101 is about 443.8811280534.

The spelling of 87458101 in words is "eighty-seven million, four hundred fifty-eight thousand, one hundred one".