978301261 has 32 divisors (see below), whose sum is σ = 1214922240. Its totient is φ = 768768000.

The previous prime is 978301249. The next prime is 978301273. The reversal of 978301261 is 162103879.

978301261 is a nontrivial binomial coefficient, being equal to C(44234, 2).

It is an interprime number because it is at equal distance from previous prime (978301249) and next prime (978301273).

It is not a de Polignac number, because 978301261 - 2⁹ = 978300749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 978301261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978301211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751311 + ... + 752611.

It is an arithmetic number, because the mean of its divisors is an integer number (37966320).

Almost surely, 2^978301261 is an apocalyptic number.

978301261 is the 44233-rd triangular number and also the 22117-th hexagonal number.

978301261 is the 14745-th centered nonagonal number.

It is an amenable number.

978301261 is a deficient number, since it is larger than the sum of its proper divisors (236620979).

978301261 is a wasteful number, since it uses less digits than its factorization.

978301261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 978301261 is about 31277.8078036169. The cubic root of 978301261 is about 992.7141320489.

The spelling of 978301261 in words is "nine hundred seventy-eight million, three hundred one thousand, two hundred sixty-one".