961607 has 4 divisors (see below), whose sum is σ = 1003440. Its totient is φ = 919776.

The previous prime is 961601. The next prime is 961613. The reversal of 961607 is 706169.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 706169 = 23 ⋅30703.

It is an interprime number because it is at equal distance from previous prime (961601) and next prime (961613).

It is a cyclic number.

It is not a de Polignac number, because 961607 - 2¹⁸ = 699463 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 961607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20882 + ... + 20927.

It is an arithmetic number, because the mean of its divisors is an integer number (250860).

2⁹⁶¹⁶⁰⁷ is an apocalyptic number.

961607 is a deficient number, since it is larger than the sum of its proper divisors (41833).

961607 is a wasteful number, since it uses less digits than its factorization.

961607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41832.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 961607 is about 980.6156229635. The cubic root of 961607 is about 98.7034967711.

It can be divided in two parts, 9 and 61607, that added together give a palindrome (61616).

The spelling of 961607 in words is "nine hundred sixty-one thousand, six hundred seven".