153297 has 6 divisors (see below), whose sum is σ = 221442. Its totient is φ = 102192.

The previous prime is 153287. The next prime is 153313. The reversal of 153297 is 792351.

153297 is nontrivially palindromic in base 6.

153297 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 40401 = 336^2 + 201^2 .

It is not a de Polignac number, because 153297 - 2⁴ = 153281 is a prime.

153297 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 153297.

It is not an unprimeable number, because it can be changed into a prime (153247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8508 + ... + 8525.

It is an arithmetic number, because the mean of its divisors is an integer number (36907).

2¹⁵³²⁹⁷ is an apocalyptic number.

It is an amenable number.

153297 is a deficient number, since it is larger than the sum of its proper divisors (68145).

153297 is a wasteful number, since it uses less digits than its factorization.

153297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17039 (or 17036 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 153297 is about 391.5316079195. The cubic root of 153297 is about 53.5193978630.

It can be divided in two parts, 15 and 3297, that multiplied together give a triangular number (49455 = T₃₁₄).

The spelling of 153297 in words is "one hundred fifty-three thousand, two hundred ninety-seven".