1504161 has 12 divisors (see below), whose sum is σ = 2231892. Its totient is φ = 975456.

The previous prime is 1504157. The next prime is 1504171. The reversal of 1504161 is 1614051.

1504161 is a `hidden beast` number, since 1 + 504 + 161 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 950625 = 744^2 + 975^2 .

It is not a de Polignac number, because 1504161 - 2² = 1504157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1504121) 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, 1926 + ... + 2591.

It is an arithmetic number, because the mean of its divisors is an integer number (185991).

2^1504161 is an apocalyptic number.

It is an amenable number.

1504161 is a deficient number, since it is larger than the sum of its proper divisors (727731).

1504161 is a wasteful number, since it uses less digits than its factorization.

1504161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4557 counting only the distinct ones).

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

The square root of 1504161 is about 1226.4424160962. The cubic root of 1504161 is about 114.5771744421.

The spelling of 1504161 in words is "one million, five hundred four thousand, one hundred sixty-one".