8415901 has 16 divisors (see below), whose sum is σ = 9710064. Its totient is φ = 7225344.

The previous prime is 8415893. The next prime is 8415919. The reversal of 8415901 is 1095148.

8415901 = T₁₅₈ + T₁₅₉ + ... + T₃₇₈.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1887876 + 6528025 = 1374^2 + 2555^2 .

It is a cyclic number.

It is not a de Polignac number, because 8415901 - 2³ = 8415893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8415901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8415941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24805 + ... + 25141.

It is an arithmetic number, because the mean of its divisors is an integer number (606879).

Almost surely, 2^8415901 is an apocalyptic number.

It is an amenable number.

8415901 is a deficient number, since it is larger than the sum of its proper divisors (1294163).

8415901 is a wasteful number, since it uses less digits than its factorization.

8415901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 8415901 is about 2901.0172353849. The cubic root of 8415901 is about 203.4074581190.

It can be divided in two parts, 8415 and 901, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 8415901 in words is "eight million, four hundred fifteen thousand, nine hundred one".