84202000 has 40 divisors (see below), whose sum is σ = 203605272. Its totient is φ = 33680000.

The previous prime is 84201991. The next prime is 84202009. The reversal of 84202000 is 20248.

It is an interprime number because it is at equal distance from previous prime (84201991) and next prime (84202009).

It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 83832336 = 608^2 + 9156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (84202009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19051 + ... + 23050.

Almost surely, 2^84202000 is an apocalyptic number.

84202000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84202000 is an abundant number, since it is smaller than the sum of its proper divisors (119403272).

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

84202000 is a wasteful number, since it uses less digits than its factorization.

84202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42124 (or 42108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 84202000 is about 9176.1647762014. The cubic root of 84202000 is about 438.3026896545.

84202000 divided by its sum of digits (16) gives a palindrome (5262625).

Adding to 84202000 its reverse (20248), we get a palindrome (84222248).

The spelling of 84202000 in words is "eighty-four million, two hundred two thousand".