961407 has 6 divisors (see below), whose sum is σ = 1388712. Its totient is φ = 640932.

The previous prime is 961399. The next prime is 961427. The reversal of 961407 is 704169.

It is not a de Polignac number, because 961407 - 2³ = 961399 is a prime.

It is a super-3 number, since 3×961407³ = 2665895333323458429, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961407.

It is not an unprimeable number, because it can be changed into a prime (961427) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53403 + ... + 53420.

It is an arithmetic number, because the mean of its divisors is an integer number (231452).

2⁹⁶¹⁴⁰⁷ is an apocalyptic number.

961407 is a deficient number, since it is larger than the sum of its proper divisors (427305).

961407 is a wasteful number, since it uses less digits than its factorization.

961407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106829 (or 106826 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 961407 is about 980.5136409046. The cubic root of 961407 is about 98.6966533419.

It can be divided in two parts, 9 and 61407, that added together give a palindrome (61416).

The spelling of 961407 in words is "nine hundred sixty-one thousand, four hundred seven".