87291293401 has 9 divisors (see below), whose sum is σ = 94526684031. Its totient is φ = 80573033112.

The previous prime is 87291293389. The next prime is 87291293407. The reversal of 87291293401 is 10439219278.

It is a happy number.

The square root of 87291293401 is 295451.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12912913225 + 74378380176 = 113635^2 + 272724^2 .

It is not a de Polignac number, because 87291293401 - 2²⁷ = 87157075673 is a prime.

It is a super-2 number, since 2×87291293401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87291293407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3829500 + ... + 3852226.

Almost surely, 2^87291293401 is an apocalyptic number.

87291293401 is the 295451-st square number.

87291293401 is the 147726-th centered octagonal number.

It is an amenable number.

87291293401 is a deficient number, since it is larger than the sum of its proper divisors (7235390630).

87291293401 is an frugal number, since it uses more digits than its factorization.

87291293401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45480 (or 22740 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 87291293401 in words is "eighty-seven billion, two hundred ninety-one million, two hundred ninety-three thousand, four hundred one".