851652 has 36 divisors (see below), whose sum is σ = 2209116. Its totient is φ = 276480.

The previous prime is 851647. The next prime is 851659. The reversal of 851652 is 256158.

851652 is a `hidden beast` number, since 8 + 5 + 1 + 652 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 367236 = 696^2 + 606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×851652² = 1450622258208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (851659) by changing a digit.

851652 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, 1188 + ... + 1764.

2⁸⁵¹⁶⁵² is an apocalyptic number.

851652 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104558).

851652 is an abundant number, since it is smaller than the sum of its proper divisors (1357464).

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

851652 is a wasteful number, since it uses less digits than its factorization.

851652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 851652 is about 922.8499336295. The cubic root of 851652 is about 94.7881521272.

The spelling of 851652 in words is "eight hundred fifty-one thousand, six hundred fifty-two".