15001461 has 12 divisors (see below), whose sum is σ = 21790860. Its totient is φ = 9944640.

The previous prime is 15001447. The next prime is 15001471. The reversal of 15001461 is 16410051.

It can be written as a sum of positive squares in 2 ways, for example, as 938961 + 14062500 = 969^2 + 3750^2 .

It is not a de Polignac number, because 15001461 - 2¹⁵ = 14968693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15001421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2976 + ... + 6233.

It is an arithmetic number, because the mean of its divisors is an integer number (1815905).

Almost surely, 2^15001461 is an apocalyptic number.

It is an amenable number.

15001461 is a deficient number, since it is larger than the sum of its proper divisors (6789399).

15001461 is a wasteful number, since it uses less digits than its factorization.

15001461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 15001461 is about 3873.1719559038. The cubic root of 15001461 is about 246.6292141416.

The spelling of 15001461 in words is "fifteen million, one thousand, four hundred sixty-one".