961700 has 36 divisors (see below), whose sum is σ = 2135280. Its totient is φ = 375840.

The previous prime is 961691. The next prime is 961703. The reversal of 961700 is 7169.

961700 = 184² + 185² + ... + 208².

It is a happy number.

961700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×961700³ = 2668333464339000000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (961703) by changing a digit.

961700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5819 + ... + 5981.

2⁹⁶¹⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067640).

961700 is an abundant number, since it is smaller than the sum of its proper divisors (1173580).

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

961700 is a wasteful number, since it uses less digits than its factorization.

961700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 961700 is about 980.6630410085. The cubic root of 961700 is about 98.7066786424.

Adding to 961700 its reverse (7169), we get a palindrome (968869).

It can be divided in two parts, 961 and 700, that added together give a palindrome (1661).

The spelling of 961700 in words is "nine hundred sixty-one thousand, seven hundred".