161777952 has 192 divisors, whose sum is σ = 563189760. Its totient is φ = 44174592.

The previous prime is 161777947. The next prime is 161777963. The reversal of 161777952 is 259777161.

It is a junction number, because it is equal to n+sod(n) for n = 161777898 and 161777907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138523 + ... + 139685.

It is an arithmetic number, because the mean of its divisors is an integer number (2933280).

Almost surely, 2^161777952 is an apocalyptic number.

161777952 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 161777952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281594880).

161777952 is an abundant number, since it is smaller than the sum of its proper divisors (401411808).

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

161777952 is a wasteful number, since it uses less digits than its factorization.

161777952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1198 counting only the distinct ones).

The product of its digits is 185220, while the sum is 45.

The square root of 161777952 is about 12719.1962010184. The cubic root of 161777952 is about 544.8869973045.

The spelling of 161777952 in words is "one hundred sixty-one million, seven hundred seventy-seven thousand, nine hundred fifty-two".