290054961 has 27 divisors (see below), whose sum is σ = 487972953. Its totient is φ = 165541320.

The previous prime is 290054953. The next prime is 290054971. The reversal of 290054961 is 169450092.

The square root of 290054961 is 17031.

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

It is not a de Polignac number, because 290054961 - 2³ = 290054953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (290054911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 357246 + ... + 358056.

Almost surely, 2^290054961 is an apocalyptic number.

290054961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

290054961 is the 17031-st square number.

290054961 is the 8516-th centered octagonal number.

It is an amenable number.

290054961 is a deficient number, since it is larger than the sum of its proper divisors (197917992).

290054961 is an frugal number, since it uses more digits than its factorization.

290054961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 290054961 is about 661.9524074121.

Multiplying 290054961 by its sum of digits (36), we get a square (10441978596 = 102186²).

The spelling of 290054961 in words is "two hundred ninety million, fifty-four thousand, nine hundred sixty-one".