961257 has 8 divisors (see below), whose sum is σ = 1398240. Its totient is φ = 582560.

The previous prime is 961243. The next prime is 961273. The reversal of 961257 is 752169.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 961257 - 2⁴ = 961241 is a prime.

961257 is a lucky number.

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 961257.

It is not an unprimeable number, because it can be changed into a prime (961277) 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, 14532 + ... + 14597.

It is an arithmetic number, because the mean of its divisors is an integer number (174780).

2⁹⁶¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

961257 is a deficient number, since it is larger than the sum of its proper divisors (436983).

961257 is a wasteful number, since it uses less digits than its factorization.

961257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29143.

The product of its digits is 3780, while the sum is 30.

The square root of 961257 is about 980.4371473991. The cubic root of 961257 is about 98.6915201472.

It can be divided in two parts, 9612 and 57, that added together give a palindrome (9669).

The spelling of 961257 in words is "nine hundred sixty-one thousand, two hundred fifty-seven".