292961 has 8 divisors (see below), whose sum is σ = 326880. Its totient is φ = 260928.

The previous prime is 292933. The next prime is 292969. The reversal of 292961 is 169292.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 292961 - 2¹⁸ = 30817 is a prime.

It is a super-2 number, since 2×292961² = 171652295042, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (292969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (40860).

2²⁹²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

292961 is a deficient number, since it is larger than the sum of its proper divisors (33919).

292961 is a wasteful number, since it uses less digits than its factorization.

292961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943.

The product of its digits is 1944, while the sum is 29.

The square root of 292961 is about 541.2587181746. The cubic root of 292961 is about 66.4155749258.

The spelling of 292961 in words is "two hundred ninety-two thousand, nine hundred sixty-one".