961314 has 16 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 314288.

The previous prime is 961313. The next prime is 961319. The reversal of 961314 is 413169.

961314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961314.

It is not an unprimeable number, because it can be changed into a prime (961313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 1829.

It is an arithmetic number, because the mean of its divisors is an integer number (122472).

2⁹⁶¹³¹⁴ is an apocalyptic number.

961314 is an abundant number, since it is smaller than the sum of its proper divisors (998238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961314 is a wasteful number, since it uses less digits than its factorization.

961314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081.

The product of its digits is 648, while the sum is 24.

The square root of 961314 is about 980.4662156342. The cubic root of 961314 is about 98.6934708241.

It can be divided in two parts, 961 and 314, that added together give a triangular number (1275 = T₅₀).

The spelling of 961314 in words is "nine hundred sixty-one thousand, three hundred fourteen".