15046641 has 15 divisors (see below), whose sum is σ = 22529353. Its totient is φ = 10007820.

The previous prime is 15046639. The next prime is 15046643. The reversal of 15046641 is 14664051.

The square root of 15046641 is 3879.

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

15046641 is a `hidden beast` number, since 15 + 0 + 4 + 6 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (15046639) and next prime (15046643).

It is not a de Polignac number, because 15046641 - 2¹ = 15046639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15046643) 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, 34696 + ... + 35126.

Almost surely, 2^15046641 is an apocalyptic number.

15046641 is the 3879-th square number.

15046641 is the 1940-th centered octagonal number.

It is an amenable number.

15046641 is a deficient number, since it is larger than the sum of its proper divisors (7482712).

15046641 is an frugal number, since it uses more digits than its factorization.

15046641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 15046641 is about 246.8765576145.

The spelling of 15046641 in words is "fifteen million, forty-six thousand, six hundred forty-one".