967521 has 16 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 595200.

The previous prime is 967511. The next prime is 967529. The reversal of 967521 is 125769.

967521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 967521 - 2¹⁵ = 934753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (967529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956 + ... + 3266.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

2⁹⁶⁷⁵²¹ is an apocalyptic number.

It is an amenable number.

967521 is a deficient number, since it is larger than the sum of its proper divisors (425247).

967521 is a wasteful number, since it uses less digits than its factorization.

967521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

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

The square root of 967521 is about 983.6264534873. The cubic root of 967521 is about 98.9054295346.

The spelling of 967521 in words is "nine hundred sixty-seven thousand, five hundred twenty-one".