161417000 has 128 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 60480000.

The previous prime is 161416993. The next prime is 161417017. The reversal of 161417000 is 714161.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270937 + ... + 1271063.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^161417000 is an apocalyptic number.

161417000 is a gapful number since it is divisible by the number (10) 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 161417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

161417000 is an abundant number, since it is smaller than the sum of its proper divisors (241137880).

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

161417000 is a wasteful number, since it uses less digits than its factorization.

161417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 161417000 is about 12704.9990161353. Note that the first 3 decimals coincide. The cubic root of 161417000 is about 544.4814527422.

The spelling of 161417000 in words is "one hundred sixty-one million, four hundred seventeen thousand".