981407 has 16 divisors (see below), whose sum is σ = 1213440. Its totient is φ = 775008.

The previous prime is 981397. The next prime is 981419. The reversal of 981407 is 704189.

It is a cyclic number.

It is not a de Polignac number, because 981407 - 2⁴ = 981391 is a prime.

It is a Duffinian number.

981407 is an undulating number in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 981407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981437) 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, 6173 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (75840).

2⁹⁸¹⁴⁰⁷ is an apocalyptic number.

981407 is a deficient number, since it is larger than the sum of its proper divisors (232033).

981407 is a wasteful number, since it uses less digits than its factorization.

981407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 981407 is about 990.6598810894. The cubic root of 981407 is about 99.3763520510.

The spelling of 981407 in words is "nine hundred eighty-one thousand, four hundred seven".