361000 has 48 divisors (see below), whose sum is σ = 891540. Its totient is φ = 136800.

The previous prime is 360989. The next prime is 361001. The reversal of 361000 is 163.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 244036 + 116964 = 494^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (361001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18991 + ... + 19009.

2³⁶¹⁰⁰⁰ 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 361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445770).

361000 is an abundant number, since it is smaller than the sum of its proper divisors (530540).

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

361000 is a wasteful number, since it uses less digits than its factorization.

361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 361000 is about 600.8327554320. The cubic root of 361000 is about 71.2036735890.

Multiplying 361000 by its sum of digits (10), we get a square (3610000 = 1900²).

361000 divided by its sum of digits (10) gives a square (36100 = 190²).

Adding to 361000 its reverse (163), we get a palindrome (361163).

The spelling of 361000 in words is "three hundred sixty-one thousand".