181964952 has 96 divisors (see below), whose sum is σ = 539600880. Its totient is φ = 55054080.

The previous prime is 181964941. The next prime is 181964963. The reversal of 181964952 is 259469181.

It is an interprime number because it is at equal distance from previous prime (181964941) and next prime (181964963).

It is a super-2 number, since 2×181964952² = 66222487512724608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 181964898 and 181964907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55503 + ... + 58689.

Almost surely, 2^181964952 is an apocalyptic number.

181964952 is a gapful number since it is divisible by the number (12) 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 181964952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269800440).

181964952 is an abundant number, since it is smaller than the sum of its proper divisors (357635928).

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

181964952 is a wasteful number, since it uses less digits than its factorization.

181964952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3266 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 181964952 is about 13489.4385353876. The cubic root of 181964952 is about 566.6687314035.

The spelling of 181964952 in words is "one hundred eighty-one million, nine hundred sixty-four thousand, nine hundred fifty-two".