981406767 has 16 divisors (see below), whose sum is σ = 1451698560. Its totient is φ = 584709600.

The previous prime is 981406733. The next prime is 981406771. The reversal of 981406767 is 767604189.

It is not a de Polignac number, because 981406767 - 2⁶ = 981406703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981401767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250084 + ... + 253977.

It is an arithmetic number, because the mean of its divisors is an integer number (90731160).

Almost surely, 2^981406767 is an apocalyptic number.

981406767 is a deficient number, since it is larger than the sum of its proper divisors (470291793).

981406767 is a wasteful number, since it uses less digits than its factorization.

981406767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504134.

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 981406767 is about 31327.4123891521. The cubic root of 981406767 is about 993.7634418656.

The spelling of 981406767 in words is "nine hundred eighty-one million, four hundred six thousand, seven hundred sixty-seven".