971652 has 48 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 276480.

The previous prime is 971651. The next prime is 971653. The reversal of 971652 is 256179.

971652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (971651) and next prime (971653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971651) 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, 2028 + ... + 2460.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁹⁷¹⁶⁵² 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 971652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416).

971652 is an abundant number, since it is smaller than the sum of its proper divisors (1653180).

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

971652 is a wasteful number, since it uses less digits than its factorization.

971652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

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

The square root of 971652 is about 985.7240993300. The cubic root of 971652 is about 99.0459943409.

The spelling of 971652 in words is "nine hundred seventy-one thousand, six hundred fifty-two".