988961 has 4 divisors (see below), whose sum is σ = 1013124. Its totient is φ = 964800.

The previous prime is 988951. The next prime is 988963. The reversal of 988961 is 169889.

988961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 144400 + 844561 = 380^2 + 919^2 .

It is a cyclic number.

It is not a de Polignac number, because 988961 - 2¹⁴ = 972577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41), and also a Moran number because the ratio is a prime number: 24121 = 988961 / (9 + 8 + 8 + 9 + 6 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (988963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12020 + ... + 12101.

It is an arithmetic number, because the mean of its divisors is an integer number (253281).

2⁹⁸⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

988961 is a deficient number, since it is larger than the sum of its proper divisors (24163).

988961 is a wasteful number, since it uses less digits than its factorization.

988961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24162.

The product of its digits is 31104, while the sum is 41.

The square root of 988961 is about 994.4651828998. The cubic root of 988961 is about 99.6306709733.

The spelling of 988961 in words is "nine hundred eighty-eight thousand, nine hundred sixty-one".