902961 has 16 divisors (see below), whose sum is σ = 1365120. Its totient is φ = 589680.

The previous prime is 902953. The next prime is 902963. The reversal of 902961 is 169209.

It is a happy number.

It is not a de Polignac number, because 902961 - 2³ = 902953 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (902963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1116 + ... + 1746.

It is an arithmetic number, because the mean of its divisors is an integer number (85320).

2⁹⁰²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

902961 is a deficient number, since it is larger than the sum of its proper divisors (462159).

902961 is a wasteful number, since it uses less digits than its factorization.

902961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 902961 is about 950.2426006026. The cubic root of 902961 is about 96.6547045576.

The spelling of 902961 in words is "nine hundred two thousand, nine hundred sixty-one".