867243601 has 15 divisors (see below), whose sum is σ = 1013410203. Its totient is φ = 742114800.

The previous prime is 867243583. The next prime is 867243617. The reversal of 867243601 is 106342768.

The square root of 867243601 is 29449.

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., 728946001 + 138297600 = 26999^2 + 11760^2 .

It is not a de Polignac number, because 867243601 - 2²⁹ = 330372689 is a prime.

It is a super-2 number, since 2×867243601² = 1504222926950894402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (867243001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1442701 + ... + 1443301.

Almost surely, 2^867243601 is an apocalyptic number.

867243601 is the 29449-th square number.

867243601 is the 14725-th centered octagonal number.

It is an amenable number.

867243601 is a deficient number, since it is larger than the sum of its proper divisors (146166602).

867243601 is an frugal number, since it uses more digits than its factorization.

867243601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 867243601 is about 953.6310167762.

The spelling of 867243601 in words is "eight hundred sixty-seven million, two hundred forty-three thousand, six hundred one".