361998 has 72 divisors (see below), whose sum is σ = 1027728. Its totient is φ = 89856.

The previous prime is 361993. The next prime is 362003. The reversal of 361998 is 899163.

It is an interprime number because it is at equal distance from previous prime (361993) and next prime (362003).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361998.

It is not an unprimeable number, because it can be changed into a prime (361993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21286 + ... + 21302.

It is an arithmetic number, because the mean of its divisors is an integer number (14274).

2³⁶¹⁹⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513864).

361998 is an abundant number, since it is smaller than the sum of its proper divisors (665730).

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

361998 is a wasteful number, since it uses less digits than its factorization.

361998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 361998 is about 601.6626962011. The cubic root of 361998 is about 71.2692284207.

It can be divided in two parts, 3 and 61998, that added together give a square (62001 = 249²).

The spelling of 361998 in words is "three hundred sixty-one thousand, nine hundred ninety-eight".