77198 has 16 divisors (see below), whose sum is σ = 131760. Its totient is φ = 33880.

The previous prime is 77191. The next prime is 77201. The reversal of 77198 is 89177.

Added to its reverse (89177) it gives a cube (166375 = 55³).

Its product of digits (3528) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77191) by changing a digit.

77198 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2648 + ... + 2676.

It is an arithmetic number, because the mean of its divisors is an integer number (8235).

2⁷⁷¹⁹⁸ is an apocalyptic number.

77198 is a deficient number, since it is larger than the sum of its proper divisors (54562).

77198 is a wasteful number, since it uses less digits than its factorization.

77198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its digits is 3528, while the sum is 32.

The square root of 77198 is about 277.8452806869. The cubic root of 77198 is about 42.5796430469.

Adding to 77198 its reverse (89177), we get a cube (166375 = 55³).

The spelling of 77198 in words is "seventy-seven thousand, one hundred ninety-eight".